### Questions (80)

 12 Help with a troublesome double integral 11 An infinite series expansion in terms of the polylogarithm function 8 Help with the integral $\int_{0}^{\infty}\frac{\log(1\pm ix)^{2}}{\left(\frac{t}{2}\log(1 \pm ix) \right )^{2}-\pi ^{2}n^{2}}e^{-2\pi mx}dx$ 7 one to one mapping between the floor function and the Riemann prime counting function 6 Function composition and Bell polynomials

### Reputation (163)

 +10 Expansion of the Mittag-Leffler function $E_{s}(x^{s})$ +5 analytic continuation of an integral involving the mittag-leffler function +10 Exponential Function as an Infinite Product +5 An integral involving Euler's $\Phi(q)$ function

 1 Exponential Function as an Infinite Product 1 What's the generalisation of the quotient rule for higher derivatives? 1 Help with the integral $\int_{0}^{1}u^{-z} x^{u}\left(x^{u}-1 \right )\sin\left(2\pi y\left(x^{u}-1 \right ) \right )du$ 1 functions orthogonal to the exponential Bell polynomials 1 Mittag-Leffler theorem and digamma powers

### Tags (64)

 3 complex-analysis × 41 1 real-analysis × 9 3 special-functions × 24 1 riemann-zeta × 6 2 calculus × 7 1 limits × 6 1 definite-integrals × 11 1 analytic-number-theory × 4 1 number-theory × 10 1 partial-fractions × 3

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